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Finding the Fourth Proportional to 530.65, 793.73 and 476.20

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Solution

The fourth proportional to 530.65, 793.73 and 476.20 is: 712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.65 : 793.73 = 476.20 : x
  2. Step 2: Convert to fraction form
    530.65/793.73 = 476.20/x
  3. Step 3: Cross multiply
    530.65x = 793.73 × 476.20
  4. Step 4: Simplify right side
    530.65x = 377,971.85
  5. Step 5: Solve for x
    x = 377,971.85/530.65
  6. Step 6: Final answer
    x = 712.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.